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  1. Tue Sep 26 16:50:20 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Sep 26 16:50:20 2023 random seeds: 393d1aa3 ccf2a691
  3. Tue Sep 26 16:50:20 2023 Using 16 OpenMP threads
  4. Tue Sep 26 16:50:20 2023 factoring 63753733010092884625867294123263403065943730332052289867160386366937908525642022825356867529890498382152431998433056318517584083680741557940693313805933758353743574113945049586682091603725740773587269306921803244979228354254611054644007493410574507889158724997301134211421009 (275 digits)
  5. Tue Sep 26 16:50:21 2023 no P-1/P+1/ECM available, skipping
  6. Tue Sep 26 16:50:21 2023 commencing number field sieve (275-digit input)
  7. Tue Sep 26 16:50:21 2023 R0: -293242067884135544935936071494808181727249301505
  8. Tue Sep 26 16:50:21 2023 R1: 221073919720733357899776
  9. Tue Sep 26 16:50:21 2023 A0: -8
  10. Tue Sep 26 16:50:21 2023 A1: 120
  11. Tue Sep 26 16:50:21 2023 A2: -84
  12. Tue Sep 26 16:50:21 2023 A3: -92
  13. Tue Sep 26 16:50:21 2023 A4: 24
  14. Tue Sep 26 16:50:21 2023 A5: 12
  15. Tue Sep 26 16:50:21 2023 A6: 1
  16. Tue Sep 26 16:50:21 2023 skew 2.80, size 5.548e-14, alpha 1.403, combined = 1.247e-14 rroots = 6
  17. Tue Sep 26 16:50:21 2023
  18. Tue Sep 26 16:50:21 2023 commencing relation filtering
  19. Tue Sep 26 16:50:21 2023 setting target matrix density to 110.0
  20. Tue Sep 26 16:50:21 2023 estimated available RAM is 128734.5 MB
  21. Tue Sep 26 16:50:21 2023 commencing duplicate removal, pass 1
  22. Tue Sep 26 16:51:46 2023 error -11 reading relation 25067450
  23. Tue Sep 26 16:58:36 2023 error -11 reading relation 153682023
  24. Tue Sep 26 16:58:36 2023 error -11 reading relation 153683141
  25. Tue Sep 26 16:58:36 2023 error -11 reading relation 153683142
  26. Tue Sep 26 16:58:36 2023 error -11 reading relation 153683143
  27. Tue Sep 26 16:58:36 2023 error -11 reading relation 153683144
  28. Tue Sep 26 17:05:46 2023 error -11 reading relation 283815069
  29. Tue Sep 26 17:06:36 2023 skipped 2491 relations with b > 2^32
  30. Tue Sep 26 17:06:36 2023 skipped 1 malformed relations
  31. Tue Sep 26 17:06:36 2023 found 9943184 hash collisions in 299107184 relations
  32. Tue Sep 26 17:06:43 2023 added 2438533 free relations
  33. Tue Sep 26 17:06:43 2023 commencing duplicate removal, pass 2
  34. Tue Sep 26 17:08:32 2023 found 0 duplicates and 301545717 unique relations
  35. Tue Sep 26 17:08:32 2023 memory use: 810.4 MB
  36. Tue Sep 26 17:08:32 2023 reading ideals above 720000
  37. Tue Sep 26 17:08:32 2023 commencing singleton removal, initial pass
  38. Tue Sep 26 17:35:46 2023 memory use: 6024.0 MB
  39. Tue Sep 26 17:35:46 2023 reading all ideals from disk
  40. Tue Sep 26 17:35:49 2023 memory use: 15534.7 MB
  41. Tue Sep 26 17:36:17 2023 keeping 285618389 ideals with weight <= 200, target excess is 1610030
  42. Tue Sep 26 17:36:59 2023 commencing in-memory singleton removal
  43. Tue Sep 26 17:37:06 2023 begin with 301545717 relations and 285618389 unique ideals
  44. Tue Sep 26 17:38:06 2023 reduce to 214221895 relations and 193095705 ideals in 17 passes
  45. Tue Sep 26 17:38:06 2023 max relations containing the same ideal: 168
  46. Tue Sep 26 17:39:20 2023 removing 15575036 relations and 13575036 ideals in 2000000 cliques
  47. Tue Sep 26 17:39:28 2023 commencing in-memory singleton removal
  48. Tue Sep 26 17:39:32 2023 begin with 198646859 relations and 193095705 unique ideals
  49. Tue Sep 26 17:39:57 2023 reduce to 197662997 relations and 178523661 ideals in 8 passes
  50. Tue Sep 26 17:39:57 2023 max relations containing the same ideal: 161
  51. Tue Sep 26 17:41:06 2023 removing 11752519 relations and 9752519 ideals in 2000000 cliques
  52. Tue Sep 26 17:41:13 2023 commencing in-memory singleton removal
  53. Tue Sep 26 17:41:17 2023 begin with 185910478 relations and 178523661 unique ideals
  54. Tue Sep 26 17:41:43 2023 reduce to 185284800 relations and 168138477 ideals in 9 passes
  55. Tue Sep 26 17:41:43 2023 max relations containing the same ideal: 155
  56. Tue Sep 26 17:42:48 2023 removing 10587863 relations and 8587863 ideals in 2000000 cliques
  57. Tue Sep 26 17:42:54 2023 commencing in-memory singleton removal
  58. Tue Sep 26 17:42:58 2023 begin with 174696937 relations and 168138477 unique ideals
  59. Tue Sep 26 17:43:25 2023 reduce to 174150459 relations and 158998105 ideals in 10 passes
  60. Tue Sep 26 17:43:25 2023 max relations containing the same ideal: 148
  61. Tue Sep 26 17:44:27 2023 removing 9994959 relations and 7994959 ideals in 2000000 cliques
  62. Tue Sep 26 17:44:33 2023 commencing in-memory singleton removal
  63. Tue Sep 26 17:44:37 2023 begin with 164155500 relations and 158998105 unique ideals
  64. Tue Sep 26 17:44:57 2023 reduce to 163636833 relations and 150478720 ideals in 8 passes
  65. Tue Sep 26 17:44:57 2023 max relations containing the same ideal: 144
  66. Tue Sep 26 17:45:57 2023 removing 9638223 relations and 7638223 ideals in 2000000 cliques
  67. Tue Sep 26 17:46:02 2023 commencing in-memory singleton removal
  68. Tue Sep 26 17:46:06 2023 begin with 153998610 relations and 150478720 unique ideals
  69. Tue Sep 26 17:46:25 2023 reduce to 153485876 relations and 142321846 ideals in 8 passes
  70. Tue Sep 26 17:46:25 2023 max relations containing the same ideal: 137
  71. Tue Sep 26 17:47:22 2023 removing 9416593 relations and 7416593 ideals in 2000000 cliques
  72. Tue Sep 26 17:47:27 2023 commencing in-memory singleton removal
  73. Tue Sep 26 17:47:30 2023 begin with 144069283 relations and 142321846 unique ideals
  74. Tue Sep 26 17:47:51 2023 reduce to 143548222 relations and 134377751 ideals in 9 passes
  75. Tue Sep 26 17:47:51 2023 max relations containing the same ideal: 129
  76. Tue Sep 26 17:48:45 2023 removing 9289600 relations and 7289600 ideals in 2000000 cliques
  77. Tue Sep 26 17:48:50 2023 commencing in-memory singleton removal
  78. Tue Sep 26 17:48:53 2023 begin with 134258622 relations and 134377751 unique ideals
  79. Tue Sep 26 17:49:12 2023 reduce to 133713659 relations and 126536413 ideals in 9 passes
  80. Tue Sep 26 17:49:12 2023 max relations containing the same ideal: 122
  81. Tue Sep 26 17:50:03 2023 removing 9231734 relations and 7231734 ideals in 2000000 cliques
  82. Tue Sep 26 17:50:08 2023 commencing in-memory singleton removal
  83. Tue Sep 26 17:50:11 2023 begin with 124481925 relations and 126536413 unique ideals
  84. Tue Sep 26 17:50:28 2023 reduce to 123904558 relations and 118719496 ideals in 9 passes
  85. Tue Sep 26 17:50:28 2023 max relations containing the same ideal: 117
  86. Tue Sep 26 17:51:17 2023 removing 9232273 relations and 7232273 ideals in 2000000 cliques
  87. Tue Sep 26 17:51:22 2023 commencing in-memory singleton removal
  88. Tue Sep 26 17:51:25 2023 begin with 114672285 relations and 118719496 unique ideals
  89. Tue Sep 26 17:51:40 2023 reduce to 114042874 relations and 110848956 ideals in 9 passes
  90. Tue Sep 26 17:51:40 2023 max relations containing the same ideal: 112
  91. Tue Sep 26 17:52:26 2023 removing 6691169 relations and 5364886 ideals in 1326283 cliques
  92. Tue Sep 26 17:52:30 2023 commencing in-memory singleton removal
  93. Tue Sep 26 17:52:33 2023 begin with 107351705 relations and 110848956 unique ideals
  94. Tue Sep 26 17:52:46 2023 reduce to 107004565 relations and 105133268 ideals in 8 passes
  95. Tue Sep 26 17:52:46 2023 max relations containing the same ideal: 109
  96. Tue Sep 26 17:53:46 2023 relations with 0 large ideals: 122763
  97. Tue Sep 26 17:53:46 2023 relations with 1 large ideals: 17305
  98. Tue Sep 26 17:53:46 2023 relations with 2 large ideals: 208859
  99. Tue Sep 26 17:53:46 2023 relations with 3 large ideals: 1525742
  100. Tue Sep 26 17:53:46 2023 relations with 4 large ideals: 6303052
  101. Tue Sep 26 17:53:46 2023 relations with 5 large ideals: 15920990
  102. Tue Sep 26 17:53:46 2023 relations with 6 large ideals: 25732676
  103. Tue Sep 26 17:53:46 2023 relations with 7+ large ideals: 57173178
  104. Tue Sep 26 17:53:46 2023 commencing 2-way merge
  105. Tue Sep 26 17:54:41 2023 reduce to 67786685 relation sets and 65915388 unique ideals
  106. Tue Sep 26 17:54:41 2023 commencing full merge
  107. Tue Sep 26 18:24:29 2023 memory use: 8605.2 MB
  108. Tue Sep 26 18:24:38 2023 found 30706579 cycles, need 30605588
  109. Tue Sep 26 18:24:49 2023 weight of 30605588 cycles is about 3366658160 (110.00/cycle)
  110. Tue Sep 26 18:24:49 2023 distribution of cycle lengths:
  111. Tue Sep 26 18:24:49 2023 1 relations: 3016636
  112. Tue Sep 26 18:24:49 2023 2 relations: 2551217
  113. Tue Sep 26 18:24:49 2023 3 relations: 2419168
  114. Tue Sep 26 18:24:49 2023 4 relations: 2339447
  115. Tue Sep 26 18:24:49 2023 5 relations: 2252310
  116. Tue Sep 26 18:24:49 2023 6 relations: 2116775
  117. Tue Sep 26 18:24:49 2023 7 relations: 2003617
  118. Tue Sep 26 18:24:49 2023 8 relations: 1861565
  119. Tue Sep 26 18:24:49 2023 9 relations: 1701421
  120. Tue Sep 26 18:24:49 2023 10+ relations: 10343432
  121. Tue Sep 26 18:24:49 2023 heaviest cycle: 28 relations
  122. Tue Sep 26 18:25:00 2023 commencing cycle optimization
  123. Tue Sep 26 18:26:22 2023 start with 241314551 relations
  124. Tue Sep 26 18:36:32 2023 pruned 8469975 relations
  125. Tue Sep 26 18:36:32 2023 memory use: 6843.8 MB
  126. Tue Sep 26 18:36:32 2023 distribution of cycle lengths:
  127. Tue Sep 26 18:36:32 2023 1 relations: 3016636
  128. Tue Sep 26 18:36:32 2023 2 relations: 2605781
  129. Tue Sep 26 18:36:32 2023 3 relations: 2509011
  130. Tue Sep 26 18:36:32 2023 4 relations: 2419048
  131. Tue Sep 26 18:36:32 2023 5 relations: 2339759
  132. Tue Sep 26 18:36:32 2023 6 relations: 2189188
  133. Tue Sep 26 18:36:32 2023 7 relations: 2071153
  134. Tue Sep 26 18:36:32 2023 8 relations: 1910207
  135. Tue Sep 26 18:36:32 2023 9 relations: 1743077
  136. Tue Sep 26 18:36:32 2023 10+ relations: 9801728
  137. Tue Sep 26 18:36:32 2023 heaviest cycle: 28 relations
  138. Tue Sep 26 18:37:42 2023 RelProcTime: 6441
  139. Tue Sep 26 18:37:42 2023 elapsed time 01:47:22
  140. Tue Sep 26 19:49:58 2023
  141. Tue Sep 26 19:49:58 2023
  142. Tue Sep 26 19:49:58 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  143. Tue Sep 26 19:49:58 2023 random seeds: 654a8c26 2e8bd007
  144. Tue Sep 26 19:49:58 2023 MPI process 0 of 2
  145. Tue Sep 26 19:49:58 2023 Using 8 OpenMP threads
  146. Tue Sep 26 19:49:58 2023 factoring 63753733010092884625867294123263403065943730332052289867160386366937908525642022825356867529890498382152431998433056318517584083680741557940693313805933758353743574113945049586682091603725740773587269306921803244979228354254611054644007493410574507889158724997301134211421009 (275 digits)
  147. Tue Sep 26 19:49:59 2023 no P-1/P+1/ECM available, skipping
  148. Tue Sep 26 19:49:59 2023 commencing number field sieve (275-digit input)
  149. Tue Sep 26 19:49:59 2023 R0: -293242067884135544935936071494808181727249301505
  150. Tue Sep 26 19:49:59 2023 R1: 221073919720733357899776
  151. Tue Sep 26 19:49:59 2023 A0: -8
  152. Tue Sep 26 19:49:59 2023 A1: 120
  153. Tue Sep 26 19:49:59 2023 A2: -84
  154. Tue Sep 26 19:49:59 2023 A3: -92
  155. Tue Sep 26 19:49:59 2023 A4: 24
  156. Tue Sep 26 19:49:59 2023 A5: 12
  157. Tue Sep 26 19:49:59 2023 A6: 1
  158. Tue Sep 26 19:49:59 2023 skew 2.80, size 5.548e-14, alpha 1.403, combined = 1.247e-14 rroots = 6
  159. Tue Sep 26 19:49:59 2023
  160. Tue Sep 26 19:49:59 2023 commencing linear algebra
  161. Tue Sep 26 19:49:59 2023 using VBITS=256
  162. Tue Sep 26 19:49:59 2023 initialized process (0,0) of 1 x 2 grid
  163. Tue Sep 26 19:50:03 2023 read 30605588 cycles
  164. Tue Sep 26 19:51:13 2023 cycles contain 105645570 unique relations
  165. Tue Sep 26 19:53:10 2023 read 105645570 relations
  166. Tue Sep 26 19:53:52 2023 using 20 quadratic characters above 4294917295
  167. Tue Sep 26 19:54:37 2023 building initial matrix
  168. Tue Sep 26 20:18:01 2023 memory use: 13844.0 MB
  169. Tue Sep 26 20:18:23 2023 read 30605588 cycles
  170. Tue Sep 26 20:18:27 2023 matrix is 30605410 x 30605588 (13444.8 MB) with weight 3825500916 (124.99/col)
  171. Tue Sep 26 20:18:27 2023 sparse part has weight 3187812609 (104.16/col)
  172. Tue Sep 26 20:26:17 2023 filtering completed in 2 passes
  173. Tue Sep 26 20:26:24 2023 matrix is 30602356 x 30602520 (13444.6 MB) with weight 3825405346 (125.00/col)
  174. Tue Sep 26 20:26:24 2023 sparse part has weight 3187781548 (104.17/col)
  175. Tue Sep 26 20:27:51 2023 matrix starts at (0, 0)
  176. Tue Sep 26 20:27:53 2023 matrix is 30602356 x 15301275 (6722.3 MB) with weight 1912708426 (125.00/col)
  177. Tue Sep 26 20:27:53 2023 sparse part has weight 1593890881 (104.17/col)
  178. Tue Sep 26 20:27:53 2023 saving the first 240 matrix rows for later
  179. Tue Sep 26 20:27:56 2023 matrix includes 256 packed rows
  180. Tue Sep 26 20:28:06 2023 matrix is 30602116 x 15301275 (6270.1 MB) with weight 1465351719 (95.77/col)
  181. Tue Sep 26 20:28:06 2023 sparse part has weight 1398861037 (91.42/col)
  182. Tue Sep 26 20:28:06 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  183. Tue Sep 26 20:28:06 2023 selected card has CUDA arch 8.6
  184. Tue Sep 26 20:30:01 2023 commencing Lanczos iteration
  185. Tue Sep 26 20:30:03 2023 memory use: 15984.1 MB
  186. Tue Sep 26 20:30:59 2023 linear algebra at 0.1%, ETA 15h14m
  187. Tue Sep 26 20:32:20 2023 checking every 30000 dimensions, checkpointing every 2040000 dimensions
  188. Wed Sep 27 11:34:24 2023 lanczos halted after 119899 iterations (dim = 30602116)
  189. Wed Sep 27 11:36:14 2023 recovered 35 nontrivial dependencies
  190. Wed Sep 27 11:36:14 2023 BLanczosTime: 56775
  191. Wed Sep 27 11:36:14 2023 elapsed time 15:46:16
  192. Wed Sep 27 11:36:15 2023
  193. Wed Sep 27 11:36:15 2023
  194. Wed Sep 27 11:36:15 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  195. Wed Sep 27 11:36:15 2023 random seeds: 5de1fc61 b1029b3e
  196. Wed Sep 27 11:36:15 2023 Using 16 OpenMP threads
  197. Wed Sep 27 11:36:15 2023 factoring 63753733010092884625867294123263403065943730332052289867160386366937908525642022825356867529890498382152431998433056318517584083680741557940693313805933758353743574113945049586682091603725740773587269306921803244979228354254611054644007493410574507889158724997301134211421009 (275 digits)
  198. Wed Sep 27 11:36:16 2023 no P-1/P+1/ECM available, skipping
  199. Wed Sep 27 11:36:16 2023 commencing number field sieve (275-digit input)
  200. Wed Sep 27 11:36:16 2023 R0: -293242067884135544935936071494808181727249301505
  201. Wed Sep 27 11:36:16 2023 R1: 221073919720733357899776
  202. Wed Sep 27 11:36:16 2023 A0: -8
  203. Wed Sep 27 11:36:16 2023 A1: 120
  204. Wed Sep 27 11:36:16 2023 A2: -84
  205. Wed Sep 27 11:36:16 2023 A3: -92
  206. Wed Sep 27 11:36:16 2023 A4: 24
  207. Wed Sep 27 11:36:16 2023 A5: 12
  208. Wed Sep 27 11:36:16 2023 A6: 1
  209. Wed Sep 27 11:36:16 2023 skew 2.80, size 5.548e-14, alpha 1.403, combined = 1.247e-14 rroots = 6
  210. Wed Sep 27 11:36:16 2023
  211. Wed Sep 27 11:36:16 2023 commencing square root phase
  212. Wed Sep 27 11:36:16 2023 reading relations for dependency 1
  213. Wed Sep 27 11:36:20 2023 read 15300107 cycles
  214. Wed Sep 27 11:36:56 2023 cycles contain 52813728 unique relations
  215. Wed Sep 27 11:39:40 2023 read 52813728 relations
  216. Wed Sep 27 11:43:48 2023 multiplying 52813728 relations
  217. Wed Sep 27 11:47:50 2023 multiply complete, coefficients have about 1482.12 million bits
  218. Wed Sep 27 11:47:53 2023 initial square root is modulo 4450291
  219. Wed Sep 27 11:54:11 2023 GCD is N, no factor found
  220. Wed Sep 27 11:54:11 2023 reading relations for dependency 2
  221. Wed Sep 27 11:54:13 2023 read 15299910 cycles
  222. Wed Sep 27 11:54:32 2023 cycles contain 52821670 unique relations
  223. Wed Sep 27 11:55:06 2023 read 52821670 relations
  224. Wed Sep 27 11:57:41 2023 multiplying 52821670 relations
  225. Wed Sep 27 12:01:42 2023 multiply complete, coefficients have about 1482.38 million bits
  226. Wed Sep 27 12:01:45 2023 initial square root is modulo 4462049
  227. Wed Sep 27 12:08:04 2023 GCD is N, no factor found
  228. Wed Sep 27 12:08:04 2023 reading relations for dependency 3
  229. Wed Sep 27 12:08:05 2023 read 15298662 cycles
  230. Wed Sep 27 12:08:24 2023 cycles contain 52830764 unique relations
  231. Wed Sep 27 12:08:56 2023 read 52830764 relations
  232. Wed Sep 27 12:11:29 2023 multiplying 52830764 relations
  233. Wed Sep 27 12:15:31 2023 multiply complete, coefficients have about 1482.60 million bits
  234. Wed Sep 27 12:15:34 2023 initial square root is modulo 4472431
  235. Wed Sep 27 12:21:54 2023 GCD is 1, no factor found
  236. Wed Sep 27 12:21:54 2023 reading relations for dependency 4
  237. Wed Sep 27 12:21:55 2023 read 15305259 cycles
  238. Wed Sep 27 12:22:14 2023 cycles contain 52829722 unique relations
  239. Wed Sep 27 12:22:46 2023 read 52829722 relations
  240. Wed Sep 27 12:25:12 2023 multiplying 52829722 relations
  241. Wed Sep 27 12:29:12 2023 multiply complete, coefficients have about 1482.57 million bits
  242. Wed Sep 27 12:29:15 2023 initial square root is modulo 4471267
  243. Wed Sep 27 12:35:36 2023 GCD is 1, no factor found
  244. Wed Sep 27 12:35:36 2023 reading relations for dependency 5
  245. Wed Sep 27 12:35:37 2023 read 15303565 cycles
  246. Wed Sep 27 12:35:56 2023 cycles contain 52831604 unique relations
  247. Wed Sep 27 12:36:28 2023 read 52831604 relations
  248. Wed Sep 27 12:38:53 2023 multiplying 52831604 relations
  249. Wed Sep 27 12:42:54 2023 multiply complete, coefficients have about 1482.64 million bits
  250. Wed Sep 27 12:42:57 2023 initial square root is modulo 4474303
  251. Wed Sep 27 12:49:14 2023 sqrtTime: 4378
  252. Wed Sep 27 12:49:14 2023 p116 factor: 19293105278243610189762806109457685345150849958421861982037240004659953041660624708829265177647590033723173689928817
  253. Wed Sep 27 12:49:14 2023 p160 factor: 3304482720155292927715415200994088476997060967541353968847188335932211146841875053060944959866690888043006253314545858327533568389576774926754386864885574321377
  254. Wed Sep 27 12:49:14 2023 elapsed time 01:12:59
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